Search Results - "Van Den Brink, René"
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Axiomatizations of the proportional division value
Published in Social choice and welfare (01-07-2021)“…We present axiomatic characterizations of the proportional division value for TU-games, which distributes the worth of the grand coalition in proportion to the…”
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Balanced externalities and the proportional allocation of nonseparable contributions
Published in European journal of operational research (01-06-2023)“…•We generalize balanced cost reduction (BCR) for queueing games to TU-games.•BCR and efficiency are compatible only on classes of 2-games.•A weaker version of…”
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3
The degree ratio ranking method for directed graphs
Published in European journal of operational research (01-01-2021)“…•We axiomatize the ranking by degree ratio for directed graphs using a clone property.•We provide a comparable axiomatization of the ranking by Copeland score…”
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Null or nullifying players: The difference between the Shapley value and equal division solutions
Published in Journal of economic theory (01-09-2007)“…A famous solution for cooperative transferable utility games is the Shapley value. Most axiomatic characterizations of this value use some axiom related to…”
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The Shapley value, the Proper Shapley value, and sharing rules for cooperative ventures
Published in Operations research letters (01-01-2020)“…In this note, we discuss two solutions for cooperative transferable utility games, namely the Shapley value and the Proper Shapley value. We characterize…”
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Sharing the surplus and proportional values
Published in Theory and decision (01-07-2022)“…We introduce a family of proportional surplus division values for TU-games. Each value first assigns to each player a compromise between her stand-alone worth…”
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Winning coalitions in plurality voting democracies
Published in Social choice and welfare (01-04-2021)“…We consider plurality voting games being simple games in partition function form such that in every partition there is at least one winning coalition. Such a…”
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Implementation and axiomatization of discounted Shapley values
Published in Social choice and welfare (01-09-2015)“…In this paper we introduce discounting in the bidding mechanism of Pérez-Castrillo and Wettstein (J Econ Theory 100:274-294, 2001) who implemented the Shapley…”
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Consistency, population solidarity, and egalitarian solutions for TU-games
Published in Theory and decision (01-09-2016)“…A (point-valued) solution for cooperative games with transferable utility, or simply TU-games, assigns a payoff vector to every TU-game. In this paper we…”
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Moore interval subtraction and interval solutions for TU-games
Published in Annals of operations research (23-09-2024)“…Standard solutions for cooperative transferable utility (TU-) games assign to every player in a TU-game a real number representing the player’s payoff. In this…”
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The degree measure as utility function over positions in graphs and digraphs
Published in European journal of operational research (16-06-2022)“…•We provide a utility foundation of combinations of out- and indegree for directed graphs.•We provide a utility foundation of the degree measure for undirected…”
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Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games
Published in Theory and decision (01-09-2009)“…A situation, in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility , or…”
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13
Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties
Published in European journal of operational research (16-07-2013)“…► We weaken Exemption and Exclusion for bankruptcy rules in a compatible way. ► We show that the Reverse Talmud (RT) rule satisfies these properties. ► We…”
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14
Comparable characterizations of four solutions for permission tree games
Published in Economic theory (01-04-2017)“…In the field of cooperative games, there is an extensive literature that studies situations of restricted cooperation. In a communication graph game, players…”
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Two new classes of methods to share the cost of cleaning up a polluted river
Published in Social choice and welfare (01-07-2023)“…Consider a group of agents located along a polluted river where every agent must pay a certain cost for cleaning up the polluted river. Following the model of…”
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On α-constant-sum games
Published in International journal of game theory (01-06-2022)“…Given any α ∈ [ 0 , 1 ] , an α -constant-sum game (abbreviated as α -CS game) on a finite set of players, N , is a function that assigns a real number to any…”
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17
Polluted river problems and games with a permission structure
Published in Games and economic behavior (01-03-2018)“…When a polluted river passes through several different regions, a challenging question is how should the costs for cleaning the river be shared among the…”
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Equal loss under separatorization and egalitarian values
Published in Economics letters (01-09-2020)“…We characterize the equal division value, the equal surplus division value, and the class of their affine combinations for TU-games involving equal loss under…”
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Games with a local permission structure: separation of authority and value generation
Published in Theory and decision (01-03-2014)“…It is known that peer group games are a special class of games with a permission structure. However, peer group games are also a special class of (weighted)…”
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The Family of Ideal Values for Cooperative Games
Published in Journal of optimization theory and applications (01-03-2019)“…In view of the nature of pursuing profit, a selfish coefficient function is employed to describe the degrees of selfishness of players in different coalitions,…”
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